On the question of regular solitons in a Noncommutative Maxwell--Chern--Simons--Higgs model

Abstract

The Maxwell--Chern--Simons model with scaler matter in the adjoint representation is analyzed from an alternative approach which is regular in the $\theta \to 0$ limit. This method is complementary to the usual operator formalism applied to explore the nonperturbative solutions which gives singular results in the $\theta \to 0$ limit. The absence of any regular non-trivial lumpy solutions satisfying B--P--S bound has been conclusively demonstrated.

6 pages, Latex, minor changes, version to appear in Mod.Phys.Lett.A

References in corpus (2)

• Seiberg-Witten-type Maps for Currents and Energy-Momentum Tensors in Noncommutative Gauge Theories
• Schwinger Model In Noncommutating Space-Time

Cited by in corpus (3)

• Galilean symmetry in noncommutative Gravitational Quantum Well
• On the question of deconfinement in noncommutative Schwinger Model
• Noncommutative Solitons of Gravity